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Finding the Fourth Proportional to 12,856.50, 19,279.74 and 5,461.26

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Solution

The fourth proportional to 12,856.50, 19,279.74 and 5,461.26 is: 8,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.50 : 19,279.74 = 5,461.26 : x
  2. Step 2: Convert to fraction form
    12,856.50/19,279.74 = 5,461.26/x
  3. Step 3: Cross multiply
    12,856.50x = 19,279.74 × 5,461.26
  4. Step 4: Simplify right side
    12,856.50x = 105,291,672.87
  5. Step 5: Solve for x
    x = 105,291,672.87/12,856.50
  6. Step 6: Final answer
    x = 8,189.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.